Complete the Equation: How to Finish Subtraction and Addition Sentences with Mixed Numbers
Mixed numbers, which combine whole numbers and fractions, are frequently encountered in various mathematical and real-world contexts.
When presented with incomplete addition or subtraction sentences involving mixed numbers, the challenge lies in determining the missing value. In this guide, we’ll explore how to finish such sentences, ensuring a clear understanding of the operations involved.
Step-by-step Guide to Complete the Equation:
1. Understanding the Sentence Structure:
Incomplete sentences will typically have a missing value, represented by a blank or a variable (like \(x\)). Your task is to determine this missing value.
2. Approaching Addition Sentences:
For addition:
– Begin by adding/subtracting the fractional parts. If the fractions have different denominators, find a common denominator.
– Next, add/subtract the whole numbers.
– Combine the results to get the final mixed number.
3. Approaching Subtraction Sentences:
For subtraction:
– Start by subtracting the fractional parts. If the fraction from which you are subtracting is larger than the first fraction, borrow from the whole number.
– Then, subtract the whole numbers.
– Combine the results to get the final mixed number.
Example 1 (Addition):
Complete the sentence: \( 2 \frac{1}{4} + 3 \frac{3}{4} = \_\_\_\_ \)
Solution:
Adding the fractions: \(\frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1\)
Adding the whole numbers: \(2 + 3 + 1 (from the fractions) = 6\)
The completed sentence is: \( 2 \frac{1}{4} + 3 \frac{3}{4} = 6 \)
The Absolute Best Book for 5th Grade Students
Example 2 (Subtraction):
Complete the sentence: \( 5 \frac{3}{5} – 2 \frac{2}{5} = \_\_\_\_ \)
Solution:
Subtracting the fractions: \(\frac{3}{5} – \frac{2}{5} = \frac{1}{5}\)
Subtracting the whole numbers: \(5 – 2 = 3\)
The completed sentence is: \( 5 \frac{3}{5} – 2 \frac{2}{5} = 3 \frac{1}{5} \)
Practice Questions:
1. Complete the sentence: \( 4 \frac{2}{7} + 3 \frac{5}{7} = \_\_\_\_ \)
2. Complete the sentence: \( 7 \frac{3}{8} – 5 \frac{1}{8} = \_\_\_\_ \)
3. Complete the sentence: \( 6 \frac{1}{6} + 2 \frac{5}{6} = \_\_\_\_ \)
A Perfect Book for Grade 5 Math Word Problems!
Answers:
1. \( 8 \)
2. \( 2 \frac{2}{8} \) or \( 2 \frac{1}{4} \)
3. \( 9 \)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- How to Solve a Quadratic Equation by Graphing?
- Top 10 3rd Grade MAP Math Practice Questions
- FREE 3rd Grade PSSA Math Practice Test
- The Best School Supplies for Learning Math
- Compare the Temperatures Above and Below Zero
- FREE SAT Math Practice Test
- What Kind of Math Is Taught in 8th Grade?
- 5th Grade M-STEP Math Worksheets: FREE & Printable
- 8th Grade DCAS Math Worksheets: FREE & Printable
- The Ultimate 6th Grade PEAKS Math Course (+FREE Worksheets)
What people say about "Complete the Equation: How to Finish Subtraction and Addition Sentences with Mixed Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.